JEE Main 2026 — Atomic Physics Question with Solution
JEE Main 2026 (05 April Shift 1)
Question
In the hydrogen atom, the electron makes a transition from the higher orbit () to a lower orbit (). The ratio of the radius of the orbits in given by . The wavelength of photon emitted due to this transition is _____ nm.
(Given Rydberg constant /m)
(Given Rydberg constant /m)
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The radius of the -th orbit in a hydrogen atom is proportional to the square of the principal quantum number , i.e., .
Given the ratio of the radii of the initial and final orbits:
This implies:
The wavelength of the emitted photon is given by the Rydberg formula:
Substituting the values:
Answer:
Given the ratio of the radii of the initial and final orbits:
This implies:
The wavelength of the emitted photon is given by the Rydberg formula:
Substituting the values:
Answer:
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